Yes. There would have been a lot more stars blowing up right in your vicinity, but more importantly, the newly-formed heavy elements would have been naturally accompanied by their usual radioactive isotopes, but why bother a physicist with the laws of biology, eh?
It is commonly thought that life evolved when it did because it's the time it took for radioactive elements to decay.
Of course, ratios of radioactive to stable isotopes vary from place to place, depending on which star blew up to create them and how old it was. But you can't really say the whole universe was a goldilocks zone. It would have taken a special place with more than just water - and the oldest galaxy we know of is 380 million years old. And let's not forget that 15 million old Earth was just a giant ball of magma... constantly being hit by giant asteroids. The Hadean period (Hades = the ancient greek version of Hell) is thought to have lasted about 600 million years.
I doubt a 15 million year old universe would have been little more than atomic soup. Water may have existed, but not as we know it. It takes more than 15 million years for a star to form and blow up, where would you have gotten enough heavy elements for a planet to arise?
The first stars are thought to have formed 100 million years after the Big Bang, not 15. Dude's on crack.